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Finding the Fourth Proportional to 5,203.84, 7,806.72 and 1,742.08

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Solution

The fourth proportional to 5,203.84, 7,806.72 and 1,742.08 is: 2,613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.84 : 7,806.72 = 1,742.08 : x
  2. Step 2: Convert to fraction form
    5,203.84/7,806.72 = 1,742.08/x
  3. Step 3: Cross multiply
    5,203.84x = 7,806.72 × 1,742.08
  4. Step 4: Simplify right side
    5,203.84x = 13,599,930.78
  5. Step 5: Solve for x
    x = 13,599,930.78/5,203.84
  6. Step 6: Final answer
    x = 2,613.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.